3. (4:) You are holding a stick of length E. You choose a point uniformly at random along the stick and break it. You then take the shorter of the two pieces7 choose a point along it uniformly at random and break it again. (a) Let L1 be the length of the Shorter piece after the rst break. What are the cdf and pdf of L1? (b) Let L2 be the length of the shortest of all three pieces after the second break. What is the conditional pdf fL2|L1(lg|l1)? (c) Calculate E[L2]